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Simplifying 0.33a + -12 = 1.33a + 6 Reorder the terms: -12 + 0.33a = 1.33a + 6 Reorder the terms: -12 + 0.33a = 6 + 1.33a Solving -12 + 0.33a = 6 + 1.33a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1.33a' to each side of the equation. -12 + 0.33a + -1.33a = 6 + 1.33a + -1.33a Combine like terms: 0.33a + -1.33a = -1a -12 + -1a = 6 + 1.33a + -1.33a Combine like terms: 1.33a + -1.33a = 0.00 -12 + -1a = 6 + 0.00 -12 + -1a = 6 Add '12' to each side of the equation. -12 + 12 + -1a = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -1a = 6 + 12 -1a = 6 + 12 Combine like terms: 6 + 12 = 18 -1a = 18 Divide each side by '-1'. a = -18 Simplifying a = -18
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